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Finding the Fourth Proportional to 204,950.76, 282,833.70 and 114,303.72

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Solution

The fourth proportional to 204,950.76, 282,833.70 and 114,303.72 is: 157,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,950.76 : 282,833.70 = 114,303.72 : x
  2. Step 2: Convert to fraction form
    204,950.76/282,833.70 = 114,303.72/x
  3. Step 3: Cross multiply
    204,950.76x = 282,833.70 × 114,303.72
  4. Step 4: Simplify right side
    204,950.76x = 32,328,944,051.36
  5. Step 5: Solve for x
    x = 32,328,944,051.36/204,950.76
  6. Step 6: Final answer
    x = 157,740.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.